If you are putting a cold metal pan on a cold stovetop, there should not be a problem. I'd be concerned about a cold non-metal dish such as a corning ware or pyrex, etc. on the stovetop. The thremal shock as the burners heat up may cause breakage. I don't think it's an issue for the stovetop either way.

I wouldn't put a cold dish on a hot stovetop. That could cause you problems with the stovetop glass.

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